Problems of optimization with application to prosthetic design and stress fracture prediction

Author

Martin, Clyde F. ; Nunn, Carroll ; Schovanec, Lawrence

Author_Institution

Dept. of Math., Texas Tech. Univ., Lubbock, TX, USA

fYear

1995

fDate

9-10 Jun 1995

Firstpage

278

Lastpage

283

Abstract

Examines the effects of geometry and material properties on criteria that could be used in establishing a notion of optimal form in bone or prosthetic devices. This is accomplished by determining extreme values of functionals that are measures of strain energy and compliance. The governing differential equation includes the effects of collageneous tissue acting on the bone and in the case of the prosthetic model, interfacial interactions between the device and the bone. Augmented Lagrange techniques and non-linear conjugate gradient methods are used to determine the optimal solution

Keywords

biomechanics; bone; conjugate gradient methods; deformation; differential equations; elastic constants; fracture; functional equations; geometry; optimisation; prosthetics; stress analysis; augmented Lagrange techniques; bone; collageneous tissue; compliance; differential equation; extreme values; functionals; geometry; interfacial interactions; material properties; nonlinear conjugate gradient methods; optimal form; optimization; prosthetic design; strain energy; stress fracture prediction; Bones; Design optimization; Differential equations; Energy measurement; Geometry; Gradient methods; Lagrangian functions; Material properties; Prosthetics; Strain measurement;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer-Based Medical Systems, 1995., Proceedings of the Eighth IEEE Symposium on

Conference_Location

Lubbock, TX

Print_ISBN

0-8186-7117-3

Type

conf

DOI

10.1109/CBMS.1995.465415

Filename

465415